(2x+1)(3x-2)=10

Simple and best practice solution for (2x+1)(3x-2)=10 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (2x+1)(3x-2)=10 equation: 


Simplifying
(2x + 1)(3x + -2) = 10

Reorder the terms:
(1 + 2x)(3x + -2) = 10

Reorder the terms:
(1 + 2x)(-2 + 3x) = 10

Multiply (1 + 2x) * (-2 + 3x)
(1(-2 + 3x) + 2x * (-2 + 3x)) = 10
((-2 * 1 + 3x * 1) + 2x * (-2 + 3x)) = 10
((-2 + 3x) + 2x * (-2 + 3x)) = 10
(-2 + 3x + (-2 * 2x + 3x * 2x)) = 10
(-2 + 3x + (-4x + 6x2)) = 10

Combine like terms: 3x + -4x = -1x
(-2 + -1x + 6x2) = 10

Solving
-2 + -1x + 6x2 = 10

Solving for variable 'x'.

Reorder the terms:
-2 + -10 + -1x + 6x2 = 10 + -10

Combine like terms: -2 + -10 = -12
-12 + -1x + 6x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-12 + -1x + 6x2 = 0

Factor a trinomial.
(-4 + -3x)(3 + -2x) = 0


Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-1.333333333, 1.5}

See similar equations:

| 8/-2 | | 5(x-x^3)+2x^2+8x^3= | | -13x-9x=7x+19 | | 6x-21+3x+75=180 | | x-2=-5y+4 | | 71-11x=38 | | 101-9x=29 | | -3(t-4)+8t=3t-1 | | y(2y-19)=33 | | 52-8x=20 | | 45+2x=79 | | 10y^2-31y=14 | | 2x+29=9x-45 | | 3x-6+4x-1= | | 5x-22=8(x-2) | | y+(-10)=-25 | | -9=3x-3 | | 3x+4=19-4x | | 13-8x=138-36x | | H=twh | | H=htw | | 6u^2+7u=20 | | 4x-3=28x+15 | | 3x-9y-2=0 | | 2500+0.05s=3000+0.03s | | 3x+1/6=2x-1 | | 4.2(x+8)+4.2x=x(x+8) | | 7x+14=-8 | | 5d+3e+2d-5e= | | 5x^3+6x-8= | | 2x+4(2)-6=0 | | 4(2x+6)-2(5x-9x+8)+8= |

Equations solver categories